1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s344n2d4d5 [400]
3 years ago
12

There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co

st $8.00. The total amount of money was $6482.50. How many of each kind of ticket were purchased
Mathematics
1 answer:
artcher [175]3 years ago
3 0

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2

From equation 1:

x = 740-y

Putting in equation 2

9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50

Subtracting 7030 from both sides

7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5

Dividing both sides by -1.5

\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365

Putting y = 365 in equation 1

x+365 = 740\\x = 740 - 365\\x = 375

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

You might be interested in
SHOW WORK PLEASE!!!!!!!!!!!!!!!!!
MakcuM [25]

Answer:

Step-by-step explanation:

  • add hen sub ten bom anwwer
8 0
2 years ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

The formula to convert <em>X</em> into <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

                = P (X < 48.50)

                =P(\frac{X-\mu}{\sigma}

*Use a <em>z</em>-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0
3 years ago
Write an algebraic expression from the following
gavmur [86]

A: (x^2) + 2x

B: (3x)/(4+x)

C: (5-x) × 3x

4 0
3 years ago
Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13
andriy [413]
\bf \begin{cases}&#10;-2x-6y&=-26\\&#10;\quad 5x+2y&=13&#10;\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=&#10;\begin{bmatrix}&#10;-2&-6\\5&2&#10;\end{bmatrix}}\implies (-4)-(-30)&#10;\\\\\\&#10;D=-4+30\implies \boxed{D=26}\\\\&#10;-------------------------------\\\\

\bf x=\cfrac{D_x}{D}\implies x=\cfrac{&#10;\begin{bmatrix}&#10;\boxed{-26}&-6\\\\ \boxed{13}&2&#10;\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}&#10;\\\\\\&#10;x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\&#10;-------------------------------\\\\&#10;y=\cfrac{D_y}{D}\implies y=\cfrac{&#10;\begin{bmatrix}&#10;-2&\boxed{-26}\\\\ 5&\boxed{13}&#10;\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}&#10;\\\\\\&#10;y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
4 0
3 years ago
The number is 9,18,27,36,45 what is the question?
MissTica

Hello from MrBillDoesMath!

Answer:    I'd guess it's  "find the next number in the sequence"  (which is 54)

Discussion:

9 * 1 = 9

9 * 2 = 18

9 * 3 = 27

9 * 4 = 36

9 * 5 = 45

9 * 6 = 54

Thank you,

MrB

7 0
3 years ago
Read 2 more answers
Other questions:
  • neil started a stamp collection with 12 stamps. every week he adds four more stamps to his collection. Which function f represen
    5·1 answer
  • What is the product?<br> 5<br> -2<br> -6<br> 2
    6·1 answer
  • Which shows the numbers<br> 3/7, 5/21, and 0.87 in order from<br> greatest to least?
    5·1 answer
  • What is the answer to -2x + 4/3 = 8/3
    9·2 answers
  • F(x)=2x² + 12, what is f(3)<br><br> 3<br> 12<br> 18<br> 30
    13·1 answer
  • What is 35 percent of 40 as a fraction?
    11·2 answers
  • Complete the table for the given rule.<br> Rule: y = 5x
    6·2 answers
  • Help question is in the pic PLEASE EXPLAIN HOW YOU GOT THE ANSWER! THERE IS A PART C AS WELL!!
    6·2 answers
  • Help please with explanation​
    12·2 answers
  • The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!